Find the perimeter of a rectangle with sides 3x + 6 and -2x -8

Question

asked Apr 3, 2022 222k views

2 Answers

Mark Anderson · Answer 1 · 2022-04-10T17:41:16+0000

Answer:

The perimeter of a rectangle with sides 3x + 6 and -2x - 8 will be:

P = 2x - 4

Explanation:

We know that the perimeter of a rectangle of length 'l' and width 'w' is given by the formula

Given the sides of a rectangle

As the opposite sides of a rectangle are congruent.

Therefore, we conclude that the Perimeter of a rectangle can be determined using the formula

$\:P\:=\:2\left(3x\:+\:6\:+\:\left(-2x\:-\:8\right)\right)$

$=2\left(3x+6-2x-8\right)$

$=2\left(x-2\right)$

=2x-4

Therefore, the perimeter of a rectangle with sides 3x + 6 and -2x - 8 will be:

P = 2x - 4